21 citations · 31 across the 7 of their papers we have counts for
6 papers · 1 filter
On tail probability of the covariance matrix in Eldan's stochastic localization
Qingyang Guan
The Eldan's stochastic localization is a new kind of stochastic evolution in the space of probability measures which provides a novel way to study high dimensional convex body. A c…
The Gaussian Correlation Inequality for Symmetric Convex Sets
Guan Qingyang
The paper is to prove the Gaussian correlation conjecture stating that, under the standard Gaussian measure, the measure of the intersection of any two symmetric convex sets is gre…
Cadlag curves of SLE driven by Levy processes
Qingyang Guan
Schramm Loewner Evolutions (SLE) are random increasing hulls defined through the Loewner equation driven by Brownian motion. It is known that the increasing hulls are generated by…
Boundary Harnack inequalities for regional fractional Laplacian
Qingyang Guan
We consider boundary Harnack inequalities for regional fractional Laplacian which are generators of censored stable-like processes on G taking κ(x,y)/|x-y|^{n+α}dxdy, x,y\in G as t…
On regularity of SLE_8 curves
Qingyang Guan
This paper has been withdrawn by the author due to essential mistakes in some previous versions.
SLE and alpha-SLE driven by Levy processes
Qing-Yang Guan, Matthias Winkel
Stochastic Loewner Evolutions (SLE) with a multiple sqrt(kappa)B of Brownian motion B as driving process are random planar curves (if kappa<=4) or growing compact sets generated by…